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jek_recluse [69]
3 years ago
15

The are of a rectangle is 54 cm. The length is 2 cm more than a x and the width is 5 cm less than twice x. Solve for x. Round yo

ur answer to nearest whole number
Mathematics
1 answer:
romanna [79]3 years ago
4 0
Given that:

(x+2)(2x-5)=54

We have:
2x^2-x-64=0

Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.
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The area of the rectangle below is<br> sq. units.<br> Help me pls :(
Lisa [10]

Answer:

D

Step-by-step explanation:

Hey There!

To find the area of a rectangle we do length times width

17 is the width and 4 is the length

so area is equal to 17x4

17x4=68 so your answer would be D

8 0
3 years ago
Read 2 more answers
F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa
DerKrebs [107]

a. Parameterize C by

\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath

with 0\le t\le1.

b/c. The line integral of \vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath over C is

\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt

=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt

=\displaystyle10\int_0^1\mathrm dt=\boxed{10}

d. Notice that we can write the line integral as

\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)

By Green's theorem, the line integral is equivalent to

\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy

where D is the triangle bounded by C, and this integral is simply twice the area of D. D is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0
3 years ago
What is equivalent to 1/2 (6x + 12 + 3)? Is it A. 18x + 36 - 9 B. 2x + 4 - 1 C. 2x + 12 - 3 D. 18x + 12 - 3
Kobotan [32]
Answer choice A is correct
6 0
3 years ago
3. Label the matrix according to the dimensions. *
Lelechka [254]
Add a picture please
8 0
3 years ago
What are the solution(s) to the quadratic equation 9x^2=4?
Irina18 [472]

Answer:

x = 2/3 or x = -2/3

Step-by-step explanation:

Solve for x over the real numbers:

9 x^2 = 4

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 9:

x^2 = 4/9

Hint: | Eliminate the exponent on the left-hand side.

Take the square root of both sides:

Answer:x = 2/3 or x = -2/3

8 0
3 years ago
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